书目名称 | Singularities of Mappings |
副标题 | The Local Behaviour |
编辑 | David Mond,Juan J. Nuño-Ballesteros |
视频video | http://file.papertrans.cn/868/867939/867939.mp4 |
概述 | Provides a self-contained introduction to the theory of singularities of mappings and ends at the frontier of current research.Includes hundreds of exercises, with many designed to help master techniq |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | .The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings..Part I of the book develops the now classical real C.∞. and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic..By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material,make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.. |
出版日期 | Book 2020 |
关键词 | singularity theory; Multiplicity; Milnor-Tjurina relation; vanishing homology; left-right equivalence; Fi |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-34440-5 |
isbn_softcover | 978-3-030-34442-9 |
isbn_ebook | 978-3-030-34440-5Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer Nature Switzerland AG 2020 |